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Finding the Fourth Proportional to 191.73, 285.81 and 189.57

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Solution

The fourth proportional to 191.73, 285.81 and 189.57 is: 282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.73 : 285.81 = 189.57 : x
  2. Step 2: Convert to fraction form
    191.73/285.81 = 189.57/x
  3. Step 3: Cross multiply
    191.73x = 285.81 × 189.57
  4. Step 4: Simplify right side
    191.73x = 54,181.00
  5. Step 5: Solve for x
    x = 54,181.00/191.73
  6. Step 6: Final answer
    x = 282.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.